Semigroup approach for identification of the unknown diffusion coefficient in a linear parabolic equation with mixed output data

DOI10.1186/1687-2770-2013-43zbMath1291.35445OpenAlexW2115480941WikidataQ59293789 ScholiaQ59293789MaRDI QIDQ2444625

Ebru Ozbilge, Ali Demir

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-43

zbMATH Keywords

semigroupsmixed boundary conditionslinear parabolic equationinverse coefficient problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Groups and semigroups of linear operators (47D03)

Related Items (6)

Identification problem for telegraph-parabolic equations ⋮ The error analysis of Crank-Nicolson-type difference scheme for fractional subdiffusion equation with spatially variable coefficient ⋮ Identification of the unknown diffusion coefficient in a linear parabolic equation via semigroup approach ⋮ Inverse problem for a time-fractional parabolic equation ⋮ Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation ⋮ A Space-Dependent Source Identification Problem for Hyperbolic-Parabolic Equations

Cites Work

• A uniqueness theorem for determining conductivity from overspecified boundary data
• On uniqueness in inverse problems for semilinear parabolic equations
• Identification of the unknown diffusion coefficient in a linear parabolic equation by the semigroup approach
• Monotonicity of input-output mappings in inverse coefficient and source problems for parabolic equations
• Identification of the unknown diffusion coefficient in a quasi‐linear parabolic equation by semigroup approach with mixed boundary conditions
• Analysis of a semigroup approach in the inverse problem of identifying an unknown coefficient
• Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
• Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
• Semigroup approach for identification of the unknown diffusion coefficient in a quasi‐linear parabolic equation
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation

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